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Simplifying 6(5 + 8r) + -3r = 6 + 3(8 + -3r) (5 * 6 + 8r * 6) + -3r = 6 + 3(8 + -3r) (30 + 48r) + -3r = 6 + 3(8 + -3r) Combine like terms: 48r + -3r = 45r 30 + 45r = 6 + 3(8 + -3r) 30 + 45r = 6 + (8 * 3 + -3r * 3) 30 + 45r = 6 + (24 + -9r) Combine like terms: 6 + 24 = 30 30 + 45r = 30 + -9r Add '-30' to each side of the equation. 30 + -30 + 45r = 30 + -30 + -9r Combine like terms: 30 + -30 = 0 0 + 45r = 30 + -30 + -9r 45r = 30 + -30 + -9r Combine like terms: 30 + -30 = 0 45r = 0 + -9r 45r = -9r Solving 45r = -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. 45r + 9r = -9r + 9r Combine like terms: 45r + 9r = 54r 54r = -9r + 9r Combine like terms: -9r + 9r = 0 54r = 0 Divide each side by '54'. r = 0 Simplifying r = 0
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